机械系统中的非线性动力学问题及其研究进展

Problems of Nonlinear Dynamics and Some Recent Developments in Mechanical engineering

综述机电系统的非线性动力学问题的研究现状和方法，主要包括机电工程中非线性动力系统的响应、分岔和混沌问题。简要介绍结构稳定性和非线性动力系统的分岔理论，给出研究机电系统中的非线性动力学问题的几种主要方法。讨论理论研究结果在弹性机构问题、机械柔性结构问题、旋转机械、航天工程和其它一些机械工程问题中的应用，指出了所存在的问题及其发展趋势。

In this paper, a review of the recent researches on problems of nonlinear dynamics in mechanical system is given. Including the response, bifurcations and chaos of nonlinear dynamical systems in mechanical engineering. Firstly,stability of structure and theory of bifurcations in nonlinear dynamical systems are briefly discussed. Some main methods for studying nonlinear dynamics and some applications of theoretical results to the elastic mechanisms, the mechanical flexible structures,the rotating machinery, the astronautic engineering and other mechanical engineering are given. Finally, the unsolved problems at present and the developing directions of nonlinear dynamical systems in mechanical engineering in the future are pointed out.